Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 652, 133, 920, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 133, 920, 574 is 1
GCD(652, 133, 920, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 133, 920, 574 is 1
GCD(652, 133, 920, 574) = 1
Given Input numbers are 652, 133, 920, 574
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 652, 133, 920, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 133, 920, 574 is 1.
Therefore, GCD of numbers 652, 133, 920, 574 is 1
Given Input Data is 652, 133, 920, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 133 is 7 x 19
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 574 is 2 x 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(652, 133) = 86716
GCD(652, 133) = ( 652 x 133 ) / 86716
GCD(652, 133) = 86716 / 86716
GCD(652, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 652, 133, 920, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 133, 920, 574?
GCD of 652, 133, 920, 574 is 1
2. Where do I get the detailed procedure to find GCD of 652, 133, 920, 574?
You can find a detailed procedure to find GCD of 652, 133, 920, 574 on our page.
3. How to find GCD of 652, 133, 920, 574 on a calculator?
You can find the GCD of 652, 133, 920, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.